Subgroups — #6537100

Order 512.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3384	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2985	C₂	1	1	yes	maximal, characteristic, complemented
3	#39596	C₂	1	1	yes	maximal, characteristic, complemented
4	#39590	C₂	1	1	yes	maximal, characteristic, complemented
5	#29885	C₂	1	1	yes	maximal, characteristic, complemented
6	#29883	C₂	1	1	yes	maximal, characteristic, complemented
7	#29881	C₂	1	1	yes	maximal, characteristic, complemented
8	#28686	C₂	1	1	yes	maximal, characteristic, complemented
9	#28685	C₂	1	1	yes	maximal, characteristic, complemented
10	#28677	C₂	1	1	yes	maximal, characteristic, complemented
11	#28197	C₂	1	1	yes	maximal, characteristic, complemented
12	#28197	C₂	1	1	yes	maximal, characteristic, complemented
13	#28188	C₂	1	1	yes	maximal, characteristic, complemented
14	#25486	C₂	1	1	yes	maximal, characteristic, complemented
15	#25485	C₂	1	1	yes	maximal, characteristic, complemented
16	#25485	C₂	1	1	yes	maximal, characteristic, complemented
17	#25481	C₂	1	1	yes	maximal, characteristic, complemented
18	#25473	C₂	1	1	yes	maximal, characteristic, complemented
19	#25470	C₂	1	1	yes	maximal, characteristic, complemented
20	#24717	C₂	1	1	yes	maximal, characteristic, complemented
21	#24716	C₂	1	1	yes	maximal, characteristic, complemented
22	#24716	C₂	1	1	yes	maximal, characteristic, complemented
23	#24712	C₂	1	1	yes	maximal, characteristic, complemented
24	#24704	C₂	1	1	yes	maximal, characteristic, complemented
25	#24701	C₂	1	1	yes	maximal, characteristic, complemented
26	#23712	C₂	1	1	yes	maximal, characteristic
27	#23708	C₂	1	1	yes	maximal, characteristic
28	#23702	C₂	1	1	yes	maximal, characteristic
29	#22745	C₂	1	1	yes	maximal, characteristic, complemented
30	#22526	C₂	1	1	yes	maximal, characteristic, complemented
31	#22523	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#554	C₂²	1	1	yes	characteristic
33	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
34	C₂×#533	C₂²	1	1	yes	characteristic
35	#3384	—	2	8	no	—
36	C₂×#501	C₂²	1	1	yes	characteristic
37	C₂×#501	C₂²	1	1	yes	characteristic
38	C₂×#498	C₂²	1	1	yes	characteristic
39	C₂×#478	C₂²	1	1	yes	characteristic
40	C₂×#478	C₂²	1	1	yes	characteristic
41	C₂×#476	C₂²	1	1	yes	characteristic
42	C₂×#476	C₂²	1	1	yes	characteristic
43	C₂×#476	C₂²	1	1	yes	characteristic
44	C₂×#474	C₂²	1	1	yes	characteristic
45	#2985	—	2	8	no	—
46	C₂×#446	C₂²	1	1	yes	characteristic
47	C₂×#446	C₂²	1	1	yes	characteristic
48	C₂×#446	C₂²	1	1	yes	characteristic
49	C₂×#446	C₂²	1	1	yes	characteristic
50	C₂×#446	C₂²	1	1	yes	characteristic
51	C₂×#446	C₂²	1	1	yes	characteristic
52	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
54	C₂×#442	C₂²	1	1	yes	characteristic
55	C₂×#442	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
57	C₂×#433	C₂²	1	1	yes	characteristic
58	C₂×#433	C₂²	1	1	yes	characteristic
59	C₂×#433	C₂²	1	1	yes	characteristic
60	C₂×#433	C₂²	1	1	yes	characteristic
61	C₂×#432	C₂²	1	1	yes	characteristic
62	C₂×#431	C₂²	1	1	yes	characteristic
63	#2857	C₂²	1	1	yes	characteristic
64	#2851	C₂²	1	1	yes	characteristic
65	#2732	—	2	1	no	—
66	#2729	—	2	1	no	—
67	#2720	—	2	1	no	—
68	#2720	—	2	1	no	—
69	#2692	—	2	1	no	—
70	#2692	—	2	1	no	—
71	#2692	—	2	1	no	—
72	#2677	—	2	1	no	—
73	#2629	C₂²	1	1	yes	characteristic
74	#2628	C₂²	1	1	yes	characteristic
75	#2628	C₂²	1	1	yes	characteristic
76	#2628	C₂²	1	1	yes	characteristic
77	#2584	C₂²	1	1	yes	characteristic
78	#2584	C₂²	1	1	yes	characteristic
79	#2580	C₂²	1	1	yes	characteristic
80	#2580	C₂²	1	1	yes	characteristic
81	#2580	C₂²	1	1	yes	characteristic
82	#2580	C₂²	1	1	yes	characteristic
83	#2567	C₂²	1	1	yes	characteristic
84	#2567	C₂²	1	1	yes	characteristic
85	#2556	—	2	1	no	—
86	#2546	C₂²	1	1	yes	characteristic
87	#2546	C₂²	1	1	yes	characteristic
88	#2542	—	2	1	no	—
89	#2538	C₂²	1	1	yes	characteristic
90	#2538	C₂²	1	1	yes	characteristic
91	#2492	—	2	1	no	—
92	#2473	—	2	1	no	—
93	#2452	—	2	1	no	—
94	#2449	—	2	1	no	—
95	#2434	—	2	1	no	—
96	#2409	—	2	1	no	—
97	#2355	C₂²	1	1	yes	characteristic
98	#2355	C₂²	1	1	yes	characteristic
99	#2324	C₂²	1	1	yes	characteristic
100	#2324	C₂²	1	1	yes	characteristic
101	#2324	C₂²	1	1	yes	characteristic
102	#2324	C₂²	1	1	yes	characteristic
103	C₄×#121	C₂²	1	1	yes	characteristic
104	C₄×#121	C₂²	1	1	yes	characteristic
105	#2088	C₂²	1	1	yes	characteristic
106	#2088	C₂²	1	1	yes	characteristic
107	#2088	C₂²	1	1	yes	characteristic
108	#2088	C₂²	1	1	yes	characteristic
109	#2088	C₂²	1	1	yes	characteristic
110	#2088	C₂²	1	1	yes	characteristic
111	#2088	C₂²	1	1	yes	characteristic
112	#2088	C₂²	1	1	yes	characteristic
113	#2088	C₂²	1	1	yes	characteristic
114	#2088	C₂²	1	1	yes	characteristic
115	#2087	C₂²	1	1	yes	characteristic
116	#2087	C₂²	1	1	yes	characteristic
117	#2087	C₂²	1	1	yes	characteristic
118	#2086	C₂²	1	1	yes	characteristic
119	#2086	C₂²	1	1	yes	characteristic
120	#2077	C₂²	1	1	yes	characteristic
121	#2077	C₂²	1	1	yes	characteristic
122	#2077	C₂²	1	1	yes	characteristic
123	#2077	C₂²	1	1	yes	characteristic
124	#2077	C₂²	1	1	yes	characteristic
125	#2077	C₂²	1	1	yes	characteristic
126	#2076	C₂²	1	1	yes	characteristic
127	#2075	C₂²	1	1	yes	characteristic
128	#2075	C₂²	1	1	yes	characteristic
129	#2067	C₂²	1	1	yes	characteristic
130	#2067	C₂²	1	1	yes	characteristic
131	#2065	C₂²	1	1	yes	characteristic
132	#2065	C₂²	1	1	yes	characteristic
133	#2065	C₂²	1	1	yes	characteristic
134	#2065	C₂²	1	1	yes	characteristic
135	#2054	C₂²	1	1	yes	characteristic
136	#2054	C₂²	1	1	yes	characteristic
137	#2054	C₂²	1	1	yes	characteristic
138	#2034	C₂²	1	1	yes	characteristic
139	#2034	C₂²	1	1	yes	characteristic
140	#2034	C₂²	1	1	yes	characteristic
141	#2034	C₂²	1	1	yes	characteristic
142	#2033	C₂²	1	1	yes	characteristic
143	#2033	C₂²	1	1	yes	characteristic
144	#1999	C₂²	1	1	yes	characteristic
145	#1993	C₂²	1	1	yes	characteristic
146	#1993	C₂²	1	1	yes	characteristic
147	#1993	C₂²	1	1	yes	characteristic
148	#1992	C₂²	1	1	yes	characteristic
149	#1991	C₂²	1	1	yes	characteristic
150	#1990	C₂²	1	1	yes	characteristic
151	#1989	C₂²	1	1	yes	characteristic
152	#1989	C₂²	1	1	yes	characteristic
153	#1988	C₂²	1	1	yes	characteristic
154	#1988	C₂²	1	1	yes	characteristic
155	#1987	C₂²	1	1	yes	characteristic
156	#1987	C₂²	1	1	yes	characteristic
157	#1949	C₂²	1	1	yes	characteristic
158	#1949	C₂²	1	1	yes	characteristic
159	#1949	C₂²	1	1	yes	characteristic
160	#1949	C₂²	1	1	yes	characteristic
161	#1948	C₂²	1	1	yes	characteristic
162	#1948	C₂²	1	1	yes	characteristic
163	#1944	C₂²	1	1	yes	characteristic
164	#1944	C₂²	1	1	yes	characteristic
165	#1943	C₂²	1	1	yes	characteristic
166	#1943	C₂²	1	1	yes	characteristic
167	#1942	C₂²	1	1	yes	characteristic
168	#1942	C₂²	1	1	yes	characteristic
169	#1941	C₂²	1	1	yes	characteristic
170	#1941	C₂²	1	1	yes	characteristic
171	#1941	C₂²	1	1	yes	characteristic
172	#1941	C₂²	1	1	yes	characteristic
173	#1941	C₂²	1	1	yes	characteristic
174	#1941	C₂²	1	1	yes	characteristic
175	#1936	C₂²	1	1	yes	characteristic
176	#1936	C₂²	1	1	yes	characteristic
177	#1936	C₂²	1	1	yes	characteristic
178	#1936	C₂²	1	1	yes	characteristic
179	#1934	C₂²	1	1	yes	characteristic
180	#1934	C₂²	1	1	yes	characteristic
181	#1934	C₂²	1	1	yes	characteristic
182	#1934	C₂²	1	1	yes	characteristic
183	#1934	C₂²	1	1	yes	characteristic
184	#1934	C₂²	1	1	yes	characteristic
185	#1934	C₂²	1	1	yes	characteristic
186	#1934	C₂²	1	1	yes	characteristic
187	#1836	C₂²	1	1	yes	characteristic
188	#1836	C₂²	1	1	yes	characteristic
189	#1835	C₂²	1	1	yes	characteristic
190	#1804	C₂²	1	1	yes	characteristic
191	#1804	C₂²	1	1	yes	characteristic
192	#1804	C₂²	1	1	yes	characteristic
193	#1804	C₂²	1	1	yes	characteristic
194	#1802	C₂²	1	1	yes	characteristic
195	#1802	C₂²	1	1	yes	characteristic
196	#1776	C₂²	1	1	yes	characteristic
197	#1776	C₂²	1	1	yes	characteristic
198	C₄×#106	C₂²	1	1	yes	characteristic
199	#1762	C₂²	1	1	yes	characteristic
200	#1762	C₂²	1	1	yes	characteristic
201	#1762	C₂²	1	1	yes	characteristic
202	#1762	C₂²	1	1	yes	characteristic
203	C₄×#102	C₂²	1	1	yes	characteristic
204	C₄×#102	C₂²	1	1	yes	characteristic
205	C₂³×Q₈	—	2	1	no	—
206	C₂²×D₈	C₂³	1	1	yes	characteristic
207	#554	—	2	4	no	—
208	#554	—	2	4	no	—
209	D₄×Q₈	—	2	4	no	—
210	D₄×Q₈	—	2	4	no	—
211	#533	—	2	4	no	—
212	#533	—	2	4	no	—
213	C₂×C₄⋊Q₈	—	2	1	no	—
214	C₂×C₄⋊Q₈	—	2	1	no	—
215	C₂×C₄⋊Q₈	D₄	1	1	yes	characteristic
216	C₂×C₄⋊Q₈	D₄	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂×#125	D₄	1	1	yes	characteristic
222	C₂×#125	D₄	1	1	yes	characteristic
223	C₂×#125	C₂³	1	1	yes	characteristic
224	C₂×#125	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Q₈	—	2	1	no	—
226	C₂×C₂²⋊Q₈	—	2	1	no	—
227	C₂×C₂²⋊Q₈	—	2	1	no	—
228	C₂×C₂²⋊Q₈	—	2	1	no	—
229	C₂×C₂²⋊Q₈	—	2	1	no	—
230	C₂×C₂²⋊Q₈	—	2	1	no	—
231	C₂×C₂²⋊Q₈	—	2	1	no	—
232	C₂×C₂²⋊Q₈	—	2	1	no	—
233	C₂×C₂²⋊Q₈	—	2	1	no	—
234	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
237	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
238	C₂×#121	C₂³	1	1	yes	characteristic
239	C₂×#121	C₂³	1	1	yes	characteristic
240	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
241	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	—	2	1	no	—
245	C₂×C₄×D₄	—	2	1	no	—
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
252	C₂×#117	C₂³	1	1	yes	characteristic
253	C₂×#117	C₂³	1	1	yes	characteristic
254	C₂²×C₄⋊C₄	—	2	1	no	—
255	C₂²×C₄²	C₂³	1	1	yes	characteristic
256	#501	—	2	4	no	—
257	#501	—	2	4	no	—
258	#498	—	2	4	no	—
259	#478	—	2	4	no	—
260	#478	—	2	4	no	—
261	#476	—	2	4	no	—
262	#476	—	2	4	no	—
263	#476	—	2	4	no	—
264	#474	—	2	4	no	—
265	#446	—	2	4	no	—
266	#446	—	2	4	no	—
267	#446	—	2	4	no	—
268	#446	—	2	4	no	—
269	#446	—	2	4	no	—
270	#446	D₄	1	8	yes	complemented
271	C₈×Q₈	—	2	4	no	—
272	C₈×Q₈	—	2	4	no	—
273	#442	—	2	4	no	—
274	#442	—	2	4	no	—
275	C₄×D₈	—	2	4	no	—
276	#433	—	2	4	no	—
277	#433	—	2	4	no	—
278	#433	—	2	4	no	—
279	#433	—	2	4	no	—
280	#432	—	2	4	no	—
281	#431	—	2	4	no	—
282	C₂×#107	C₂³	1	1	yes	characteristic
283	C₂×#107	C₂³	1	1	yes	characteristic
284	C₂×#107	C₂³	1	1	yes	characteristic
285	C₂×#107	C₂³	1	1	yes	characteristic
286	C₂×#107	C₂³	1	1	yes	characteristic
287	C₂×#106	C₂³	1	1	yes	characteristic
288	C₂×#106	C₂³	1	1	yes	characteristic
289	C₂×#106	C₂³	1	1	yes	characteristic
290	C₂×#106	C₂³	1	1	yes	characteristic
291	C₂×#106	C₂³	1	1	yes	characteristic
292	C₂×#106	C₂³	1	1	yes	characteristic
293	C₂×#106	C₂³	1	1	yes	characteristic
294	C₂×#106	C₂³	1	1	yes	characteristic
295	C₂×#106	C₂³	1	1	yes	characteristic
296	C₂×#106	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×#102	C₂³	1	1	yes	characteristic
310	C₂×#102	C₂³	1	1	yes	characteristic
311	C₂×#102	C₂³	1	1	yes	characteristic
312	C₂×#102	C₂³	1	1	yes	characteristic
313	C₂×#102	C₂³	1	1	yes	characteristic
314	C₂×#102	C₂³	1	1	yes	characteristic
315	C₂×#102	C₂³	1	1	yes	characteristic
316	C₂×#102	C₂³	1	1	yes	characteristic
317	C₂×#102	C₂³	1	1	yes	characteristic
318	C₂×#102	C₂³	1	1	yes	characteristic
319	C₂×#102	C₂³	1	1	yes	characteristic
320	C₂×#102	C₂³	1	1	yes	characteristic
321	C₂×#102	C₂³	1	1	yes	characteristic
322	C₂×#102	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×#97	C₂³	1	1	yes	characteristic
328	C₂×#97	C₂³	1	1	yes	characteristic
329	C₂×#97	C₂³	1	1	yes	characteristic
330	C₂×#97	C₂³	1	1	yes	characteristic
331	C₂×#97	C₂³	1	1	yes	characteristic
332	C₂×#97	C₂³	1	1	yes	characteristic
333	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
334	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
335	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
336	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
337	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
338	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
339	#400	—	2	1	no	—
340	#400	—	2	1	no	—
341	#400	—	2	1	no	—
342	#399	—	2	1	no	—
343	#399	—	2	1	no	—
344	#399	—	2	1	no	—
345	#399	—	2	1	no	—
346	#399	—	2	1	no	—
347	#399	—	2	1	no	—
348	#399	—	2	1	no	—
349	#398	—	2	1	no	—
350	#398	—	2	1	no	—
351	#398	—	2	1	no	—
352	#398	—	2	1	no	—
353	#398	—	2	1	no	—
354	#398	—	2	1	no	—
355	#398	—	2	1	no	—
356	#398	—	2	1	no	—
357	#396	—	2	1	no	—
358	#396	—	2	1	no	—
359	#396	—	2	1	no	—
360	#396	—	2	1	no	—
361	#396	—	2	1	no	—
362	#396	—	2	1	no	—
363	#395	—	2	1	no	—
364	#395	—	2	1	no	—
365	#395	—	2	1	no	—
366	#395	—	2	1	no	—
367	#395	—	2	1	no	—
368	#395	—	2	1	no	—
369	#395	—	2	1	no	—
370	#395	—	2	1	no	—
371	#395	—	2	1	no	—
372	#393	—	2	1	no	—
373	#393	—	2	1	no	—
374	#393	—	2	1	no	—
375	#393	—	2	1	no	—
376	#393	—	2	1	no	—
377	#393	—	2	1	no	—
378	#393	—	2	1	no	—
379	#391	—	2	1	no	—
380	#391	—	2	1	no	—
381	#391	—	2	1	no	—
382	#391	—	2	1	no	—
383	#391	—	2	1	no	—
384	#391	—	2	1	no	—
385	#391	—	2	1	no	—
386	#390	—	2	1	no	—
387	#390	—	2	1	no	—
388	#390	—	2	1	no	—
389	#390	—	2	1	no	—
390	#390	C₂³	1	1	yes	characteristic
391	#390	C₂³	1	1	yes	characteristic
392	#390	C₂³	1	1	yes	characteristic
393	#390	C₂³	1	1	yes	characteristic
394	#390	C₂³	1	1	yes	characteristic
395	#390	C₂³	1	1	yes	characteristic
396	#389	—	2	1	no	—
397	#389	—	2	1	no	—
398	#389	—	2	1	no	—
399	#389	—	2	1	no	—
400	#389	—	2	1	no	—
401	#389	C₂³	1	1	yes	characteristic
402	#389	C₂³	1	1	yes	characteristic
403	#389	C₂³	1	1	yes	characteristic
404	#389	C₂³	1	1	yes	characteristic
405	#389	C₂³	1	1	yes	characteristic
406	#389	C₂³	1	1	yes	characteristic
407	#389	C₂³	1	1	yes	characteristic
408	#389	C₂³	1	1	yes	characteristic
409	#389	C₂³	1	1	yes	characteristic
410	#389	C₂³	1	1	yes	characteristic
411	#389	C₂³	1	1	yes	characteristic
412	#389	C₂³	1	1	yes	characteristic
413	#389	C₂³	1	1	yes	characteristic
414	#389	C₂³	1	1	yes	characteristic
415	#389	C₂³	1	1	yes	characteristic
416	#389	C₂³	1	1	yes	characteristic
417	#389	C₂³	1	1	yes	characteristic
418	#389	C₂³	1	1	yes	characteristic
419	#388	—	2	1	no	—
420	#388	—	2	1	no	—
421	#388	—	2	1	no	—
422	#388	—	2	1	no	—
423	#388	—	2	1	no	—
424	#388	—	2	1	no	—
425	#387	—	2	1	no	—
426	#387	—	2	1	no	—
427	#387	—	2	1	no	—
428	#387	—	2	1	no	—
429	#387	—	2	1	no	—
430	#387	—	2	1	no	—
431	#386	—	2	1	no	—
432	#386	—	2	1	no	—
433	#386	—	2	1	no	—
434	#386	—	2	1	no	—
435	#386	—	2	1	no	—
436	#386	—	2	1	no	—
437	#385	—	2	1	no	—
438	#385	—	2	1	no	—
439	#385	—	2	1	no	—
440	#385	—	2	1	no	—
441	#385	—	2	1	no	—
442	#385	—	2	1	no	—
443	#385	—	2	1	no	—
444	#385	—	2	1	no	—
445	#385	—	2	1	no	—
446	#385	—	2	1	no	—
447	#385	—	2	1	no	—
448	#385	—	2	1	no	—
449	#385	—	2	1	no	—
450	#385	—	2	1	no	—
451	#384	—	2	1	no	—
452	#384	—	2	1	no	—
453	#384	C₂³	1	1	yes	characteristic
454	#384	C₂³	1	1	yes	characteristic
455	#382	C₂³	1	1	yes	characteristic
456	#382	C₂³	1	1	yes	characteristic
457	#382	C₂³	1	1	yes	characteristic
458	#382	C₂³	1	1	yes	characteristic
459	#380	—	2	1	no	—
460	#380	—	2	1	no	—
461	#380	—	2	1	no	—
462	#380	C₂³	1	1	yes	characteristic
463	#380	C₂³	1	1	yes	characteristic
464	#380	C₂³	1	1	yes	characteristic
465	#380	C₂³	1	1	yes	characteristic
466	#380	C₂³	1	1	yes	characteristic
467	#380	C₂³	1	1	yes	characteristic
468	C₄×C₄⋊C₄	—	2	1	no	—
469	C₄×C₄⋊C₄	—	2	1	no	—
470	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
474	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
475	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	—	2	1	no	—
477	C₄×C₂²⋊C₄	—	2	1	no	—
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#340	C₂³	1	1	yes	characteristic
489	#340	C₂³	1	1	yes	characteristic
490	#340	C₂³	1	1	yes	characteristic
491	#340	C₂³	1	1	yes	characteristic
492	#340	C₂³	1	1	yes	characteristic
493	#340	C₂³	1	1	yes	characteristic
494	#340	C₂³	1	1	yes	characteristic
495	#340	C₂³	1	1	yes	characteristic
496	#340	C₂³	1	1	yes	characteristic
497	#340	C₂³	1	1	yes	characteristic
498	#340	C₂³	1	1	yes	characteristic
499	#340	C₂³	1	1	yes	characteristic
500	#340	C₂³	1	1	yes	characteristic
501	#340	C₂³	1	1	yes	characteristic
502	#340	C₂³	1	1	yes	characteristic
503	#340	C₂³	1	1	yes	characteristic
504	#340	C₂³	1	1	yes	characteristic
505	#340	C₂³	1	1	yes	characteristic
506	#340	C₂³	1	1	yes	characteristic
507	#340	C₂³	1	1	yes	characteristic
508	#340	C₂³	1	1	yes	characteristic
509	#340	C₂³	1	1	yes	characteristic
510	#340	C₂³	1	1	yes	characteristic
511	#340	C₂³	1	1	yes	characteristic
512	C₂²×Q₈	—	2	1	no	—
513	C₂²×Q₈	—	2	1	no	—
514	C₂²×Q₈	—	2	1	no	—
515	C₂²×Q₈	—	2	1	no	—
516	C₂²×Q₈	—	4	4	no	—
517	C₂²×Q₈	—	8	2	no	—
518	C₂²×Q₈	—	8	2	no	—
519	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
520	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
521	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
522	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂²×D₄	—	2	1	no	—
524	C₂²×D₄	—	2	1	no	—
525	C₂²×D₄	C₂⁴	1	1	yes	characteristic
526	C₂²×D₄	C₂⁴	1	1	yes	characteristic
527	C₂³×C₄	—	2	1	no	—
528	C₂³×C₄	—	2	1	no	—
529	C₂³×C₄	—	2	1	no	—
530	C₂³×C₄	—	2	1	no	—
531	C₂³×C₄	—	2	1	no	—
532	C₂³×C₄	—	2	1	no	—
533	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
534	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
535	C₂³×C₄	C₂⁴	1	1	yes	characteristic
536	C₂×D₈	—	2	2	no	—
537	C₂×D₈	—	2	2	no	—
538	C₂×D₈	—	2	2	no	—
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₂²×C₈	C₂⁴	1	1	yes	characteristic
541	C₂²×C₈	C₂⁴	1	1	yes	characteristic
542	C₂²×C₈	C₂⁴	1	1	yes	characteristic
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₄⋊Q₈	—	2	4	no	—
548	C₄⋊Q₈	—	2	4	no	—
549	C₄⋊Q₈	—	2	2	no	—
550	C₄⋊Q₈	—	2	2	no	—
551	C₄⋊Q₈	—	2	2	no	—
552	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	—	2	2	no	—
555	C₄⋊Q₈	—	2	2	no	—
556	C₄⋊Q₈	—	2	2	no	—
557	C₄⋊Q₈	—	8	2	no	—
558	C₄⋊Q₈	—	8	2	no	—
559	#125	—	2	4	no	—
560	#125	—	2	4	no	—
561	#125	—	2	2	no	—
562	#125	—	2	2	no	—
563	#125	—	2	2	no	—
564	#125	—	2	2	no	—
565	C₂²⋊Q₈	—	2	4	no	—
566	C₂²⋊Q₈	—	2	4	no	—
567	C₂²⋊Q₈	—	2	4	no	—
568	C₂²⋊Q₈	—	2	4	no	—
569	C₂²⋊Q₈	—	4	4	no	—
570	C₂²⋊Q₈	—	4	4	no	—
571	C₂²⋊Q₈	—	4	4	no	—
572	C₂²⋊Q₈	—	4	4	no	—
573	C₂²⋊Q₈	—	4	4	no	—
574	C₂²⋊Q₈	—	4	4	no	—
575	C₂²⋊Q₈	—	8	2	no	—
576	C₂²⋊Q₈	—	8	2	no	—
577	C₂²⋊Q₈	—	8	2	no	—
578	#121	—	2	2	no	—
579	#121	—	2	2	no	—
580	#121	—	2	2	no	—
581	#121	—	2	2	no	—
582	C₄×Q₈	—	2	2	no	—
583	C₄×Q₈	—	2	2	no	—
584	C₄×Q₈	—	2	2	no	—
585	C₄×Q₈	—	2	2	no	—
586	C₄×Q₈	—	2	2	no	—
587	C₄×Q₈	—	2	2	no	—
588	C₄×Q₈	C₂×D₄	1	4	yes	—
589	C₄×Q₈	#41	1	4	yes	—
590	C₄×D₄	—	2	2	no	—
591	C₄×D₄	—	2	2	no	—
592	C₄×D₄	—	2	2	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	2	no	—
595	C₄×D₄	—	2	2	no	—
596	C₄×D₄	—	2	2	no	—
597	C₄×D₄	—	2	2	no	—
598	C₄×D₄	—	2	2	no	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	—	8	2	no	—
603	C₄×D₄	—	8	2	no	—
604	#117	—	2	2	no	—
605	#117	—	2	2	no	—
606	#117	—	2	2	no	—
607	#117	—	2	2	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	2	1	no	—
634	C₂×C₄⋊C₄	—	2	1	no	—
635	C₂×C₄⋊C₄	—	2	1	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	—	4	4	no	—
639	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	—	2	1	no	—
675	C₂×C₂²⋊C₄	—	2	1	no	—
676	C₂×C₂²⋊C₄	—	2	1	no	—
677	C₂×C₂²⋊C₄	—	2	1	no	—
678	C₂×C₂²⋊C₄	—	2	1	no	—
679	C₂×C₂²⋊C₄	—	2	1	no	—
680	C₂×C₂²⋊C₄	—	2	1	no	—
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	1	no	—
683	C₂×C₂²⋊C₄	—	2	1	no	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	2	1	no	—
687	C₂×C₂²⋊C₄	—	2	1	no	—
688	C₂×C₂²⋊C₄	—	2	1	no	—
689	C₂×C₂²⋊C₄	—	2	1	no	—
690	C₂×C₂²⋊C₄	—	2	1	no	—
691	C₂×C₂²⋊C₄	—	2	1	no	—
692	C₂×C₂²⋊C₄	—	2	1	no	—
693	C₂×C₂²⋊C₄	—	2	1	no	—
694	C₂×C₂²⋊C₄	—	2	1	no	—
695	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
699	C₂×C₄²	—	2	2	no	—
700	C₂×C₄²	—	2	2	no	—
701	C₂×C₄²	—	2	1	no	—
702	C₂×C₄²	—	2	1	no	—
703	C₂×C₄²	—	2	1	no	—
704	C₂×C₄²	—	2	1	no	—
705	C₂×C₄²	—	2	1	no	—
706	C₂×C₄²	—	2	1	no	—
707	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
708	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
709	C₂×C₄²	C₂⁴	1	1	yes	characteristic
710	C₂×C₄²	C₂⁴	1	1	yes	characteristic
711	C₂×C₄²	C₂⁴	1	1	yes	characteristic
712	C₂×C₄²	C₂⁴	1	1	yes	characteristic
713	C₂×C₄²	C₂⁴	1	1	yes	characteristic
714	C₂×C₄²	C₂⁴	1	1	yes	characteristic
715	#107	—	2	2	no	—
716	#107	—	2	2	no	—
717	#107	—	2	2	no	—
718	#107	—	2	2	no	—
719	#107	—	2	2	no	—
720	#106	—	2	2	no	—
721	#106	—	2	2	no	—
722	#106	—	2	2	no	—
723	#106	—	2	2	no	—
724	#106	—	2	2	no	—
725	#106	—	2	2	no	—
726	#106	—	2	2	no	—
727	#106	—	2	2	no	—
728	#106	—	2	2	no	—
729	#106	—	2	2	no	—
730	C₄⋊C₈	—	2	2	no	—
731	C₄⋊C₈	—	2	2	no	—
732	C₄⋊C₈	—	2	2	no	—
733	C₄⋊C₈	—	2	2	no	—
734	C₄⋊C₈	—	2	2	no	—
735	C₄⋊C₈	—	2	2	no	—
736	C₄⋊C₈	—	2	2	no	—
737	C₄⋊C₈	—	2	2	no	—
738	C₄⋊C₈	—	2	2	no	—
739	C₄⋊C₈	C₂×D₄	1	4	yes	—
740	C₄⋊C₈	C₂×D₄	1	4	yes	—
741	C₄⋊C₈	C₂×D₄	1	4	yes	—
742	#102	—	2	2	no	—
743	#102	—	2	2	no	—
744	#102	—	2	2	no	—
745	#102	—	2	2	no	—
746	#102	—	2	2	no	—
747	#102	—	2	2	no	—
748	#102	—	2	2	no	—
749	#102	—	2	2	no	—
750	#102	—	2	2	no	—
751	#102	—	2	2	no	—
752	#102	—	2	2	no	—
753	#102	—	2	2	no	—
754	#102	—	2	2	no	—
755	#102	—	2	2	no	—
756	C₂²⋊C₈	—	2	2	no	—
757	C₂²⋊C₈	—	2	2	no	—
758	C₂²⋊C₈	—	2	2	no	—
759	C₂²⋊C₈	—	2	2	no	—
760	#97	—	2	2	no	—
761	#97	—	2	2	no	—
762	#97	—	2	2	no	—
763	#97	—	2	2	no	—
764	#97	C₂×D₄	1	4	yes	—
765	#97	C₂×D₄	1	4	yes	—
766	C₄×C₈	—	2	2	no	—
767	C₄×C₈	—	2	2	no	—
768	C₄×C₈	—	2	2	no	—
769	C₄×C₈	—	2	2	no	—
770	C₄×C₈	—	2	2	no	—
771	C₄×C₈	C₂×D₄	1	4	yes	—
772	#95	—	2	1	no	—
773	#95	—	2	1	no	—
774	#95	—	2	1	no	—
775	#95	—	2	1	no	—
776	#95	—	2	1	no	—
777	#95	—	2	1	no	—
778	#95	—	2	1	no	—
779	#95	—	2	1	no	—
780	#95	—	2	1	no	—
781	#95	—	2	1	no	—
782	#95	—	2	1	no	—
783	#95	—	2	1	no	—
784	#95	—	2	1	no	—
785	#95	—	2	1	no	—
786	#95	—	2	1	no	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	—	2	1	no	—
806	#95	—	2	1	no	—
807	#95	—	2	1	no	—
808	#95	—	2	1	no	—
809	#95	—	2	1	no	—
810	C₂⁴	—	2	1	no	—
811	C₂⁴	—	2	1	no	—
812	C₂⁴	C₂²×D₄	1	1	yes	characteristic
813	C₂×Q₈	—	2	2	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	2	2	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	2	2	no	—
818	C₂×Q₈	—	4	1	no	—
819	C₂×Q₈	—	4	1	no	—
820	C₂×Q₈	—	4	1	no	—
821	C₂×Q₈	—	4	1	no	—
822	C₂×Q₈	—	4	1	no	—
823	C₂×Q₈	—	4	1	no	—
824	C₂×Q₈	—	4	2	no	—
825	C₂×Q₈	—	4	2	no	—
826	C₂×Q₈	—	4	2	no	—
827	C₂×Q₈	—	4	2	no	—
828	C₂×Q₈	—	4	2	no	—
829	C₂×Q₈	—	4	2	no	—
830	C₂×Q₈	—	8	1	no	—
831	C₂×Q₈	—	8	1	no	—
832	C₂×Q₈	—	8	1	no	—
833	C₂×Q₈	—	8	1	no	—
834	C₂×Q₈	—	8	1	no	—
835	C₂×Q₈	—	8	1	no	—
836	C₂×Q₈	—	8	16	no	—
837	C₂×Q₈	#121	1	4	yes	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	1	no	—
841	C₂×D₄	—	2	1	no	—
842	C₂×D₄	—	2	1	no	—
843	C₂×D₄	—	2	1	no	—
844	C₂×D₄	—	2	1	no	—
845	C₂×D₄	—	2	1	no	—
846	C₂×D₄	—	2	1	no	—
847	C₂×D₄	—	2	1	no	—
848	C₂×D₄	—	2	1	no	—
849	C₂×D₄	—	2	1	no	—
850	C₂×D₄	—	8	1	no	—
851	C₂×D₄	—	8	1	no	—
852	C₂×D₄	—	8	1	no	—
853	C₂×D₄	—	8	1	no	—
854	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
855	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	1	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	—	4	1	no	—
881	C₂²×C₄	—	4	1	no	—
882	C₂²×C₄	—	4	2	no	—
883	C₂²×C₄	—	4	2	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	—	4	2	no	—
886	C₂²×C₄	—	4	2	no	—
887	C₂²×C₄	—	4	2	no	—
888	C₂²×C₄	—	4	2	no	—
889	C₂²×C₄	—	4	2	no	—
890	C₂²×C₄	—	8	1	no	—
891	C₂²×C₄	—	8	1	no	—
892	C₂²×C₄	—	8	1	no	—
893	C₂²×C₄	—	8	1	no	—
894	C₂²×C₄	—	8	1	no	—
895	C₂²×C₄	—	8	1	no	—
896	C₂²×C₄	—	8	1	no	—
897	C₂²×C₄	—	8	1	no	—
898	C₂²×C₄	—	8	1	no	—
899	C₂²×C₄	—	8	1	no	—
900	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
901	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
902	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
903	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
904	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
905	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
906	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
909	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
910	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
911	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
912	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
913	C₂²×C₄	C₂⁵	1	1	yes	characteristic
914	D₈	—	2	8	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₂×C₈	—	2	1	no	—
918	C₂×C₈	—	2	1	no	—
919	C₂×C₈	—	2	1	no	—
920	C₂×C₈	—	2	1	no	—
921	C₂×C₈	—	2	1	no	—
922	C₂×C₈	—	2	1	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	C₂²×D₄	1	2	yes	—
936	C₂×C₈	C₂²×D₄	1	2	yes	—
937	C₂×C₈	C₂²×D₄	1	2	yes	—
938	C₂×C₈	C₂²×D₄	1	2	yes	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	—	4	2	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	—	4	2	no	—
983	C₄⋊C₄	—	4	2	no	—
984	C₄⋊C₄	—	4	2	no	—
985	C₄⋊C₄	—	4	2	no	—
986	C₄⋊C₄	—	4	2	no	—
987	C₄⋊C₄	—	4	2	no	—
988	C₄⋊C₄	—	4	2	no	—
989	C₄⋊C₄	—	8	1	no	—
990	C₄⋊C₄	—	8	1	no	—
991	C₄⋊C₄	—	8	1	no	—
992	C₄⋊C₄	—	8	1	no	—
993	C₄⋊C₄	—	8	1	no	—
994	C₄⋊C₄	—	8	1	no	—
995	C₄⋊C₄	—	8	1	no	—
996	C₄⋊C₄	—	8	1	no	—
997	C₄⋊C₄	—	8	1	no	—
998	C₄⋊C₄	—	8	1	no	—
999	C₄⋊C₄	—	8	1	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₄⋊C₄	—	8	1	no	—
1003	C₄⋊C₄	—	8	1	no	—
1004	C₄⋊C₄	—	8	1	no	—
1005	C₄⋊C₄	—	8	1	no	—
1006	C₄⋊C₄	—	8	1	no	—
1007	C₄⋊C₄	—	8	1	no	—
1008	C₄⋊C₄	#121	1	4	yes	—
1009	C₄⋊C₄	#121	1	4	yes	—
1010	C₄⋊C₄	#121	1	4	yes	—
1011	C₄⋊C₄	2₋¹⁺⁴	1	2	yes	—
1012	C₄⋊C₄	2₋¹⁺⁴	1	2	yes	—
1013	C₂²⋊C₄	—	2	4	no	—
1014	C₂²⋊C₄	—	2	4	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	4	2	no	—
1020	C₂²⋊C₄	—	4	2	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	2	no	—
1024	C₂²⋊C₄	—	4	2	no	—
1025	C₂²⋊C₄	—	4	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	—	8	1	no	—
1028	C₂²⋊C₄	—	8	1	no	—
1029	C₂²⋊C₄	—	8	1	no	—
1030	C₂²⋊C₄	—	8	1	no	—
1031	C₂²⋊C₄	—	8	1	no	—
1032	C₂²⋊C₄	—	8	1	no	—
1033	C₂²⋊C₄	—	8	1	no	—
1034	C₂²⋊C₄	—	8	1	no	—
1035	C₂²⋊C₄	—	8	1	no	—
1036	C₂²⋊C₄	—	8	1	no	—
1037	C₂²⋊C₄	—	8	1	no	—
1038	C₂²⋊C₄	—	8	1	no	—
1039	C₂²⋊C₄	—	8	1	no	—
1040	C₂²⋊C₄	—	8	1	no	—
1041	C₂²⋊C₄	—	8	1	no	—
1042	C₂²⋊C₄	—	8	1	no	—
1043	C₄²	—	2	2	no	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	1	no	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	—	4	2	no	—
1052	C₄²	—	8	1	no	—
1053	C₄²	—	8	1	no	—
1054	C₄²	—	8	1	no	—
1055	C₄²	—	8	1	no	—
1056	C₄²	—	8	1	no	—
1057	C₄²	C₂²×D₄	1	2	yes	—
1058	C₄²	C₂²×D₄	1	2	yes	—
1059	C₄²	C₂²×D₄	1	2	yes	—
1060	C₄²	C₂×#41	1	2	yes	—
1061	C₄²	C₂×#41	1	2	yes	—
1062	C₄²	C₂×#41	1	2	yes	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	2	no	—
1068	C₂³	—	2	2	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	4	1	no	—
1073	C₂³	—	4	1	no	—
1074	C₂³	—	4	1	no	—
1075	C₂³	—	4	1	no	—
1076	C₂³	—	4	1	no	—
1077	C₂³	—	4	1	no	—
1078	C₂³	—	4	1	no	—
1079	C₂³	—	4	1	no	—
1080	C₂³	—	4	1	no	—
1081	C₂³	—	4	1	no	—
1082	C₂³	—	4	1	no	—
1083	C₂³	—	4	1	no	—
1084	C₂³	C₂³×D₄	1	1	yes	characteristic
1085	Q₈	—	4	4	no	—
1086	Q₈	—	4	4	no	—
1087	Q₈	—	4	4	no	—
1088	Q₈	—	8	2	no	—
1089	Q₈	—	8	4	no	—
1090	Q₈	—	8	4	no	—
1091	Q₈	—	8	4	no	—
1092	Q₈	—	16	2	no	—
1093	D₄	—	2	2	no	—
1094	D₄	—	2	2	no	—
1095	D₄	—	2	2	no	—
1096	D₄	—	2	2	no	—
1097	D₄	—	4	1	no	—
1098	D₄	—	4	1	no	—
1099	D₄	—	4	1	no	—
1100	D₄	—	4	1	no	—
1101	D₄	—	8	4	no	—
1102	D₄	—	8	4	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	4	4	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	4	1	no	—
1151	C₂×C₄	—	4	1	no	—
1152	C₂×C₄	—	4	1	no	—
1153	C₂×C₄	—	4	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	8	2	no	—
1183	C₂×C₄	—	8	4	no	—
1184	C₂×C₄	—	8	4	no	—
1185	C₂×C₄	—	8	4	no	—
1186	C₂×C₄	—	8	4	no	—
1187	C₂×C₄	—	16	2	no	—
1188	C₂×C₄	—	16	2	no	—
1189	C₂×C₄	C₂×#121	1	2	yes	—
1190	C₂×C₄	C₂×#121	1	2	yes	—
1191	C₂×C₄	C₂×#121	1	2	yes	—
1192	C₂×C₄	C₂×#121	1	2	yes	—
1193	C₂×C₄	C₂×#121	1	2	yes	—
1194	C₂×C₄	C₂×#121	1	2	yes	—
1195	C₂×C₄	#577	1	2	yes	—
1196	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1197	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1198	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1199	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1200	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1201	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1202	C₈	—	2	2	no	—
1203	C₈	—	2	2	no	—
1204	C₈	—	2	2	no	—
1205	C₈	—	2	2	no	—
1206	C₈	—	4	1	no	—
1207	C₈	—	4	1	no	—
1208	C₈	—	4	1	no	—
1209	C₈	—	4	1	no	—
1210	C₂²	—	4	1	no	—
1211	C₂²	—	4	1	no	—
1212	C₂²	—	4	1	no	—
1213	C₂²	—	4	2	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	2	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	2	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	2	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	2	no	—
1223	C₂²	—	8	1	no	—
1224	C₂²	—	8	1	no	—
1225	C₂²	—	8	1	no	—
1226	C₂²	—	8	1	no	—
1227	C₂²	—	8	1	no	—
1228	C₂²	—	8	1	no	—
1229	C₂²	—	8	1	no	—
1230	C₂²	—	8	1	no	—
1231	C₂²	C₂²×#121	1	1	yes	characteristic
1232	C₂²	#3486	1	1	yes	characteristic
1233	C₂²	#3486	1	1	yes	characteristic
1234	C₂²	C₂×#577	1	1	yes	characteristic
1235	C₂²	#3584	1	1	yes	characteristic
1236	C₂²	#3585	1	1	yes	characteristic
1237	C₂²	#3585	1	1	yes	characteristic
1238	C₄	—	2	2	no	—
1239	C₄	—	2	2	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	2	2	no	—
1242	C₄	—	2	2	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	8	1	no	—
1254	C₄	—	8	1	no	—
1255	C₄	—	8	1	no	—
1256	C₄	—	8	1	no	—
1257	C₄	—	8	1	no	—
1258	C₄	—	8	1	no	—
1259	C₄	—	8	1	no	—
1260	C₄	—	8	1	no	—
1261	C₄	—	8	1	no	—
1262	C₄	—	8	1	no	—
1263	C₄	—	8	1	no	—
1264	C₄	—	8	1	no	—
1265	C₄	#3486	1	1	yes	characteristic
1266	C₄	#3499	1	1	yes	characteristic
1267	C₄	#3523	1	1	yes	characteristic
1268	C₄	#3523	1	1	yes	characteristic
1269	C₂	—	8	1	no	—
1270	C₂	—	8	2	no	—
1271	C₂	—	8	2	no	—
1272	C₂	#35700	1	1	yes	characteristic
1273	C₂	#60454	1	1	yes	characteristic
1274	C₂	#60457	1	1	yes	characteristic
1275	C₂	#61850	1	1	yes	characteristic
1276	C₂	#61855	1	1	yes	characteristic
1277	C₂	#61860	1	1	yes	characteristic
1278	C₂	#61861	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#1999	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂×#533 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#3384	C₂	semidirect
2. C₂×#2985	C₂	semidirect
3. #39596	C₂	semidirect
4. #39590	C₂	semidirect
5. #29885	C₂	semidirect
6. #29883	C₂	semidirect
7. #29881	C₂	semidirect
8. #28686	C₂	semidirect
9. #28685	C₂	semidirect
10. #28677	C₂	semidirect
11. #28197	C₂	semidirect
12. #28197	C₂	semidirect
13. #28188	C₂	semidirect
14. #25486	C₂	semidirect
15. #25485	C₂	semidirect
16. #25485	C₂	semidirect
17. #25481	C₂	semidirect
18. #25473	C₂	semidirect
19. #25470	C₂	semidirect
20. #24717	C₂	semidirect
21. #24716	C₂	semidirect
22. #24716	C₂	semidirect
23. #24712	C₂	semidirect
24. #24704	C₂	semidirect
25. #24701	C₂	semidirect
29. #22745	C₂	semidirect
30. #22526	C₂	semidirect
31. #22523	C₂	semidirect
270. #446	D₄	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#3384	2
C₂×#2985	2
#39596	2
#39590	2
#29885	2
#29883	2
#29881	2
#28686	2
#28685	2
#28677	2
#28197	2
#28188	2
#25486	2
#25485	2
#25481	2
#25473	2
#25470	2
#24717	2
#24716	2
#24712	2
#24704	2
#24701	2
#23712	2
#23708	2
#23702	2
#22745	2
#22526	2
#22523	2